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200010112100032 = 26131039551244367
BaseRepresentation
bin101101011110100001111011…
…101011101110011011000000
3222020011210001121022222000211
4231132201323223232123000
5202203431202144200112
61545215213234523504
760062153013615643
oct5536417353563300
9866153047288024
10200010112100032
11588028a3033813
121a523371a36594
13877ab46268520
143756780a07a5a
15181cac6be20a7
hexb5e87baee6c0

200010112100032 has 112 divisors (see below), whose sum is σ = 431622170284032. Its totient is φ = 91406177510400.

The previous prime is 200010112100017. The next prime is 200010112100063. The reversal of 200010112100032 is 230001211010002.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 200010112099985 and 200010112100021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818360313 + ... + 818604679.

It is an arithmetic number, because the mean of its divisors is an integer number (3853769377536).

Almost surely, 2200010112100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200010112100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215811085142016).

200010112100032 is an abundant number, since it is smaller than the sum of its proper divisors (231612058184000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200010112100032 is a wasteful number, since it uses less digits than its factorization.

200010112100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254046 (or 254036 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 200010112100032 its reverse (230001211010002), we get a palindrome (430011323110034).

The spelling of 200010112100032 in words is "two hundred trillion, ten billion, one hundred twelve million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 206 208 412 416 824 832 1339 1648 2678 3296 5356 6592 9551 10712 19102 21424 38204 42848 76408 85696 124163 152816 244367 248326 305632 488734 496652 611264 977468 983753 993304 1954936 1967506 1986608 3176771 3909872 3935012 3973216 6353542 7819744 7870024 7946432 12707084 12788789 15639488 15740048 25169801 25414168 25577578 31480096 50339602 50828336 51155156 62960192 100679204 101656672 102310312 201358408 203313344 204620624 327207413 402716816 409241248 654414826 805433632 818482496 1308829652 1610867264 2333949217 2617659304 4667898434 5235318608 9335796868 10470637216 18671593736 20941274432 30341339821 37343187472 60682679642 74686374944 121365359284 149372749888 240396769351 242730718568 480793538702 485461437136 961587077404 970922874272 1923174154808 1941845748544 3125158001563 3846348309616 6250316003126 7692696619232 12500632006252 15385393238464 25001264012504 50002528025008 100005056050016 200010112100032